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Finding the Fourth Proportional to 509.25, 763.41 and 265.94

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Solution

The fourth proportional to 509.25, 763.41 and 265.94 is: 398.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.25 : 763.41 = 265.94 : x
  2. Step 2: Convert to fraction form
    509.25/763.41 = 265.94/x
  3. Step 3: Cross multiply
    509.25x = 763.41 × 265.94
  4. Step 4: Simplify right side
    509.25x = 203,021.26
  5. Step 5: Solve for x
    x = 203,021.26/509.25
  6. Step 6: Final answer
    x = 398.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.